List of top Engineering Mathematics Questions on Solution of Integrals

If x[n] = u[n] - u[n -5], and h[n] = δ[n] - δ[n - 1] and y[n] = x[n] × h[n], then the value of \(\sum_{n=-\infin}^{\infin}\) y[n] is _________. Give your answer rounded off to the nearest integer.

What is the value of the following integral using the residue integration method ?
\(\int\limits_{-\infin}^{\infin}\frac{dx}{1+x^4}\)

What is the value of the following complex line integral counter-clockwise ?
\(\oint_{|z|=3}\frac{8}{z(z-2)(z-4)}dz\)